Information on Result #693169
Linear OA(2570, 390634, F25, 18) (dual of [390634, 390564, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2583, 390700, F25, 18) (dual of [390700, 390617, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2570, 302644, F25, 2, 18) (dual of [(302644, 2), 605218, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (52, 70, 302644)-net over F25 | [i] | ||
| 4 | Linear OOA(2570, 195317, F25, 2, 18) (dual of [(195317, 2), 390564, 19]-NRT-code) | [i] | OOA Folding | |